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Simplifying (5xy + 2y) * dx + (3xy + -5x) * dy = 0 Reorder the terms for easier multiplication: dx(5xy + 2y) + (3xy + -5x) * dy = 0 (5xy * dx + 2y * dx) + (3xy + -5x) * dy = 0 Reorder the terms: (2dxy + 5dx2y) + (3xy + -5x) * dy = 0 (2dxy + 5dx2y) + (3xy + -5x) * dy = 0 Reorder the terms: 2dxy + 5dx2y + (-5x + 3xy) * dy = 0 Reorder the terms for easier multiplication: 2dxy + 5dx2y + dy(-5x + 3xy) = 0 2dxy + 5dx2y + (-5x * dy + 3xy * dy) = 0 2dxy + 5dx2y + (-5dxy + 3dxy2) = 0 Reorder the terms: 2dxy + -5dxy + 3dxy2 + 5dx2y = 0 Combine like terms: 2dxy + -5dxy = -3dxy -3dxy + 3dxy2 + 5dx2y = 0 Solving -3dxy + 3dxy2 + 5dx2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(-3 + 3y + 5x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 3y + 5x)' equal to zero and attempt to solve: Simplifying -3 + 3y + 5x = 0 Reorder the terms: -3 + 5x + 3y = 0 Solving -3 + 5x + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5x + 3 + 3y = 0 + 3 Reorder the terms: -3 + 3 + 5x + 3y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x + 3y = 0 + 3 5x + 3y = 0 + 3 Combine like terms: 0 + 3 = 3 5x + 3y = 3 Add '-5x' to each side of the equation. 5x + -5x + 3y = 3 + -5x Combine like terms: 5x + -5x = 0 0 + 3y = 3 + -5x 3y = 3 + -5x Add '-3y' to each side of the equation. 3y + -3y = 3 + -5x + -3y Combine like terms: 3y + -3y = 0 0 = 3 + -5x + -3y Simplifying 0 = 3 + -5x + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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